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Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
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Open Access Research Article

Health study using Markov chain modeling

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pp. 1223–1235Vol. 47Issue 4April 2026DOI: 10.47974/JIOS-2170XML
Received:
01 Nov 2025
Published Online:
04 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIOS-2170
Pages:
1223–1235

Abstract

A study of health of a human being is an ever interesting and fertile one for any re-searcher. This is one such study in which we use Markov chain for the modeling of the problem that identifies the health status of an individual through his mood on two successive days. We have performed an empirical study for which we have collected data regarding the mood change in two successive days by making a questionnaire and identify the Markov chain structure from the data. Then we have analyzed the Markov chain to calculate higher order transition probabili-ties and steady state probabilities. Using those, we made some analytical inferences and for that we have used R language and MS Excel. Based on the data, we have found that the Markov chain, so formed is ergodic in nature with high steady state probability for happy state which is one of the six moods we have assumed when collecting the data. We have also classified the dif-ferent states or moods of the data. From this study, we also infer that this is a simple way of tran-sitioning across the states or moods of a human. Also, using this line of analysis is a robust, easy and efficient for one in calculating measures regarding moods or mood disorders.

Keywords

Subject Classifications

60J10

References

[1] J. A. Yates, L. Clare, and R. T. Woods, “What is the relationship between health, mood and mild cognitive impairment,” Journal of Alzheimer’s Disease, vol. 55, no. 3, pp. 1183–1193 (2017). doi: 10.3233/JAD-160611.
[2] World Health Organization, Mental Health: Facing the Challenges, Building Solutions. Report from the WHO European Ministerial Conference. Copenhagen, Denmark: WHO Regional Office for Europe (2005).
[3] A. T. Beekman, D. J. Deeg, J. H. Smit, and W. van Tilburg, “Predicting the course of depression in the older population: Results from a community-based study in the Netherlands,” Journal of Affective Disorders, vol. 34, no. 1, pp. 41–49 (1995).
[4] A. T. Beekman, D. M. Kriegsman, D. J. Deeg, and W. van Tilburg, “The association of physical health and depressive symptoms in the older population: Age and sex differences,” Social Psychiatry and Psychiatric Epidemiology, vol. 30, no. 1, pp. 32–38 (Jan. 1995). doi: 10.1007/BF00784432.
[5] W. van den Brink, A. Leenstra, J. Ormel, and G. van de Willige, “Mental health intervention programs in primary care: Their scientific basis,” Journal of Affective Disorders, vol. 21, no. 4, pp. 273–284 (Apr. 1991). doi: 10.1016/0165-0327(91)90007-F.
[6] J. Spijker and S. Claes, “Mood disorders in the DSM-5,” Tijdschrift voor Psychiatrie, vol. 56, no. 3, pp. 173–176 (2014).
[7] R. M. Benca, M. Okawa, M. Uchiyama, S. Ozaki, T. Nakajima, K. Shibui, and W. H. Obermeyer, “Sleep and mood disorders,” Sleep Medicine Reviews, vol. 1, no. 1, pp. 45–56 (Nov. 1997).doi: 10.1016/S1087-0792(97)90005-8.
[8] A. Le Glaz, Y. Haralambous, D.-H. Kim-Dufor, P. Lenca, R. Billot, T. C. Ryan, J. Marsh, J. DeVylder, M. Walter, S. Berrouiguet, and C. Lemey, “Machine learning and natural language processing in mental health: Systematic review,” Journal of Medical Internet Research, vol. 23, no. 5 (2021).
[9] H. Almeida, A. Briand, and M.-J. Meurs, “Detecting early risk of depression from social media user-generated content,” in Proceedings of the Conference and Labs of the Evaluation Forum (CLEF), Dublin, Ireland (2017).
[10] G. Azar, C. Gloster, N. El-Bathy, S. Yu, R. H. Neela, and I. Alothman, “Intelligent data mining and machine learning for mental health diagnosis using genetic algorithm,” in 2015 IEEE International Conference on Electro/Information Technology (EIT), pp. 201–206, (2015).
[11] “Mood states prediction by stochastic Petri nets,” in International Psychological Applications Conference and Trends, Budapest, Hungary (2017).
[12] S. Bhattacharya, “Markov chain model to explain the dynamics of human depression,” Journal of Nonlinear Dynamics, vol. 2014, Article ID 107164, pp. 9 (2014). doi: 10.1155/2014/107164.
[13] N. K. Rajpoot, P. D. Singh, B. Pant, and V. Tripathi, “Leveraging machine learning in healthcare: Exploring benefits and challenges,” Journal of Information and Optimization Sciences, vol. 45, no. 2, pp. 459–467 (2024).
[14] M. B. Khan and A. K. J. Saudagar, “Comparative analysis of medical knowledge and inferential capabilities of modern LLMs,” Journal of Information and Optimization Sciences, vol. 27, no. 8, pp. 1713–1722 (2024).
[15] V. K. Verma, B. Saini, T. Jain, and P. Dadheech, “Cognitive equilibrium and instability: Lyapunov stability analysis in mental health research,” Journal of Information and Optimization Sciences, vol. 27, no. 2, pp. 273–283 (2024).
[16] D. Mane, P. Charkha, N. N. K. Lyngdoh, P. A. Patil, P. P. Roy, J. Kumawat, and V. Khetani, “Deep learning-enhanced decision support systems for optimized health informatics solutions,” Journal of Information and Optimization Sciences, vol. 46, no. 4B, pp. 1265–1275 (2025).

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